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31=10x+1
Combine 7x and 3x to get 10x.
10x+1=31
Swap sides so that all variable terms are on the left hand side.
10x=31-1
Subtract 1 from both sides.
10x=30
Subtract 1 from 31 to get 30.
x=\frac{30}{10}
Divide both sides by 10.
x=3
Divide 30 by 10 to get 3.